986545664 has 160 divisors (see below), whose sum is σ = 2320164000. Its totient is φ = 414941184.

The previous prime is 986545633. The next prime is 986545669. The reversal of 986545664 is 466545689.

986545664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (986545669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3667322 + ... + 3667590.

It is an arithmetic number, because the mean of its divisors is an integer number (14501025).

Almost surely, 2^986545664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 986545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160082000).

986545664 is an abundant number, since it is smaller than the sum of its proper divisors (1333618336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

986545664 is a wasteful number, since it uses less digits than its factorization.

986545664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 332 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 53.

The square root of 986545664 is about 31409.3244753847. The cubic root of 986545664 is about 995.4949563927.

The spelling of 986545664 in words is "nine hundred eighty-six million, five hundred forty-five thousand, six hundred sixty-four".